Information on Result #657748
Linear OA(25624, 257, F256, 24) (dual of [257, 233, 25]-code or 257-arc in PG(23,256)), using algebraic-geometric code AG(F,116P) with degPÂ =Â 2 based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Extended Reed–Solomon Code [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1648, 514, F16, 24) (dual of [514, 466, 25]-code) | [i] | Trace Code | |
| 2 | OA(3239, 257, S32, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6432, 257, S64, 24) | [i] | ||
| 4 | OA(12828, 257, S128, 24) | [i] | ||
| 5 | Linear OA(25636, 514, F256, 24) (dual of [514, 478, 25]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25627, 260, F256, 26) (dual of [260, 233, 27]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 7 | Linear OA(25625, 260, F256, 24) (dual of [260, 235, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(25631, 264, F256, 28) (dual of [264, 233, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(25627, 264, F256, 24) (dual of [264, 237, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(25635, 268, F256, 30) (dual of [268, 233, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(25629, 268, F256, 24) (dual of [268, 239, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(25639, 272, F256, 32) (dual of [272, 233, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(25631, 272, F256, 24) (dual of [272, 241, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(25643, 276, F256, 34) (dual of [276, 233, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(25633, 276, F256, 24) (dual of [276, 243, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(25647, 280, F256, 36) (dual of [280, 233, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(25635, 280, F256, 24) (dual of [280, 245, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(25651, 284, F256, 38) (dual of [284, 233, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(25637, 284, F256, 24) (dual of [284, 247, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(25655, 288, F256, 40) (dual of [288, 233, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(25639, 288, F256, 24) (dual of [288, 249, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(25659, 292, F256, 42) (dual of [292, 233, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(25663, 296, F256, 44) (dual of [296, 233, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(25667, 300, F256, 46) (dual of [300, 233, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(25629, 262, F256, 27) (dual of [262, 233, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(25626, 262, F256, 24) (dual of [262, 236, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(25641, 274, F256, 33) (dual of [274, 233, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(25632, 274, F256, 24) (dual of [274, 242, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(25653, 286, F256, 39) (dual of [286, 233, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(25638, 286, F256, 24) (dual of [286, 248, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(25665, 298, F256, 45) (dual of [298, 233, 46]-code) | [i] | ✔ | |
| 32 | Linear OA(25633, 266, F256, 29) (dual of [266, 233, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(25628, 266, F256, 24) (dual of [266, 238, 25]-code) | [i] | ✔ | |